simplify the expression. (x)2(2xy3)5 a. 2x^3y15 b. 32x^7y8 c. 32x^7y15 d. 10x^3y8
\((x^2)\left(2xy^3\right)^5=(x^2)\left(2^5x^5y^{3\cdot5}\right)=(x^2)(32x^5y^{15})\\\\=32x^{2+5}y^{15}=\boxed{32x^7y^{15}}\to\boxed{c.}\)
Answer:
c
Step-by-step explanation:
We can solve and simply the expression using the product rule for the following expression:
\(=x^2*(2*x*y^5)^5\)
If x is multiplied by a x we can add their exponents, if a bracket has an exponent we can multiply the exponent with the exponent of each term in the bracket.
\(=x^2*(2^5*x^5*y^15)\)
\(=32*x^7*y^15\)
Therefore the answer is c